MB102 Differential and Integral Calculus
Faculty of InformaticsAutumn 2021
The course is not taught in Autumn 2021
- Extent and Intensity
- 2/2/0. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Mgr. Milan Bačík (seminar tutor)
Mgr. Jakub Juránek, Ph.D. (seminar tutor)
Mgr. Jiřina Šišoláková, Ph.D. (seminar tutor)
prof. Mgr. Petr Hasil, Ph.D. (assistant) - Guaranteed by
- prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Contact Person: prof. RNDr. Jan Slovák, DrSc.
Supplier department: Faculty of Science - Prerequisites
- ! NOW ( MB202 Calculus B ) && ! MB202 Calculus B
High school mathematics - Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Image Processing and Analysis (programme FI, N-VIZ)
- Applied Informatics (programme FI, B-AP)
- Bioinformatics and systems biology (programme FI, N-UIZD)
- Bioinformatics (programme FI, B-AP)
- Computer Games Development (programme FI, N-VIZ_A)
- Computer Graphics and Visualisation (programme FI, N-VIZ_A)
- Computer Networks and Communications (programme FI, N-PSKB_A)
- Cybersecurity Management (programme FI, N-RSSS_A)
- Formal analysis of computer systems (programme FI, N-TEI)
- Graphic design (programme FI, N-VIZ)
- Graphic Design (programme FI, N-VIZ_A)
- Hardware Systems (programme FI, N-PSKB_A)
- Hardware systems (programme FI, N-PSKB)
- Image Processing and Analysis (programme FI, N-VIZ_A)
- Information security (programme FI, N-PSKB)
- Informatics with another discipline (programme FI, B-EB)
- Informatics with another discipline (programme FI, B-FY)
- Informatics with another discipline (programme FI, B-IO)
- Informatics with another discipline (programme FI, B-MA)
- Informatics with another discipline (programme FI, B-TV)
- Informatics (programme FI, B-INF) (2)
- Public Administration Informatics (programme FI, B-AP)
- Informatics in education (programme FI, B-IVV) (2)
- Information Security (programme FI, N-PSKB_A)
- Quantum and Other Nonclassical Computational Models (programme FI, N-TEI)
- Mathematical Biology (programme PřF, B-EXB)
- Computer graphics and visualisation (programme FI, N-VIZ)
- Computer Graphics and Image Processing (programme FI, B-IN)
- Computer Networks and Communication (programme FI, B-IN)
- Computer Networks and Communications (programme FI, N-PSKB)
- Computer Systems and Data Processing (programme FI, B-IN)
- Principles of programming languages (programme FI, N-TEI)
- Programming and development (programme FI, B-PVA)
- Programmable Technical Structures (programme FI, B-IN)
- Embedded Systems (programme FI, N-IN)
- Cybersecurity management (programme FI, N-RSSS)
- Services development management (programme FI, N-RSSS)
- Software Systems Development Management (programme FI, N-RSSS)
- Services Development Management (programme FI, N-RSSS_A)
- Service Science, Management and Engineering (programme FI, N-AP)
- Social Informatics (programme FI, B-AP)
- Software Systems Development Management (programme FI, N-RSSS_A)
- Software Systems (programme FI, N-PSKB_A)
- Software systems (programme FI, N-PSKB)
- Machine learning and artificial intelligence (programme FI, N-UIZD)
- Teacher of Informatics and IT administrator (programme FI, N-UCI)
- Informatics for secondary school teachers (programme FI, N-UCI) (2)
- Computer Games Development (programme FI, N-VIZ)
- Processing and analysis of large-scale data (programme FI, N-UIZD)
- Natural language processing (programme FI, N-UIZD)
- Course objectives
- The course is the second part of the four semester block of Mathematics. The course Differential and Integral Calculus, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects.
- Learning outcomes
- At the end of the course students will be able to:
work both practically and theoretically with the derivative and (indefinite and definite) integral;
analyse the behavior of functions of one real variable.
understand the theory and use of infinite number series and power series;
understand the selected applications of the Calculus;
apply the methods of calculus to concrete problems. - Syllabus
- Polynomial interpolation
- Continuous functions and limits
- Derivative and its applications
- Elementary functions
- Indefinite integral
- Riemann integral and its applications
- Infinite series and power series, Fourier series, integral transformations
- Literature
- recommended literature
- RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
- SLOVÁK, Jan, Martin PANÁK and Michal BULANT. Matematika drsně a svižně (Brisk Guide to Mathematics). 1st ed. Brno: Masarykova univerzita, 2013, 773 pp. ISBN 978-80-210-6307-5. Available from: https://dx.doi.org/10.5817/CZ.MUNI.O210-6308-2013. Základní učebnice matematiky pro vysokoškolské studium info
- Bookmarks
- https://is.muni.cz/ln/tag/FI:MB102!
- Teaching methods
- There are theoretical lectures and standard tutorial
- Assessment methods
- Two hours of lectures per week and two hours of compulsory exercises/seminar group. During the semester, two obligatory mid-term exams are avaluated (each for max 10 points). In the seminar groups, there are 4-6 half an hour exams during the semester. The seminars are evaluated in total by max 5 points. Students, who collect during the semester (i.e., in exercises and mid-term exams) less than 10 points, are graded as X and they do not proceed to the final examination. The final exam is two hours long and written for max 20 points. For successfull examination (the grade at least E), the student needs in total 20 points or more.
- Language of instruction
- Czech
- Follow-Up Courses
- Further comments (probably available only in Czech)
- The course is taught each semester.
The course is taught: every week. - Listed among pre-requisites of other courses
- Enrolment Statistics (Autumn 2021, recent)
- Permalink: https://is.muni.cz/course/fi/autumn2021/MB102